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                <h2 id="简单使用">简单使用</h2>
<h3 id="文字渲染">文字渲染</h3>
<p><em>斜体</em><br>
<strong>加粗</strong><br>
<em><strong>斜体加粗</strong></em><br>
<s>删除线</s></p>
<pre class="line-numbers language-text" data-language="text"><code class="language-text">*斜体*
**加粗**
***斜体加粗***
~~删除线~~<span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span></span></code></pre>
<h3 id="结构段落">结构段落</h3>
<h1>一级标题</h1>
<h6 id="六级标题">六级标题</h6>
<pre class="line-numbers language-text" data-language="text"><code class="language-text"># 一级标题
###### 六级标题<span aria-hidden="true" class="line-numbers-rows"><span></span><span></span></span></code></pre>
<blockquote>
<p>引用</p>
</blockquote>
<p>分割线</p>
<hr>
<hr>
<pre class="line-numbers language-text" data-language="text"><code class="language-text">&gt; 引用

分割线 

--- 

***<span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
<h3 id="外链引用">外链引用</h3>
<h4 id="图片-desc">图片 <img src="https://avatars.githubusercontent.com/u/49236180" alt="desc" title="title"></h4>
<pre class="line-numbers language-text" data-language="text"><code class="language-text">![desc](https://avatars.githubusercontent.com/u/49236180 "title")<span aria-hidden="true" class="line-numbers-rows"><span></span></span></code></pre>
<h4 id="超链接">超链接</h4>
<p><a target="_blank" rel="noopener" href="https://leetcode-cn.com/problemset/all/" title="力扣">leetcode</a></p>
<p><a herf="https://leetcode-cn.com/problemset/all/" target="_blank">力扣</a></p>
<pre class="line-numbers language-text" data-language="text"><code class="language-text">[leetcode](https://leetcode-cn.com/problemset/all/ "力扣")

&lt;a herf="https://leetcode-cn.com/problemset/all/" target="_blank"&gt;力扣&lt;/a&gt;<span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span></span></code></pre>
<h4 id="代码">代码</h4>
<p><code>代码</code></p>
<pre class="line-numbers language-text" data-language="text"><code class="language-text">`代码`<span aria-hidden="true" class="line-numbers-rows"><span></span></span></code></pre>
<h4 id="代码块">代码块</h4>
<pre class="line-numbers language-type" data-language="type"><code class="language-type">代码块<span aria-hidden="true" class="line-numbers-rows"><span></span></span></code></pre>
<pre class="line-numbers language-text" data-language="text"><code class="language-text">```type
代码块(下行反斜线需要去掉)
\```<span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span></span></code></pre>
<h3 id="列表表格">列表表格</h3>
<h4 id="无序列表">无序列表</h4>
<ul>
<li>1</li>
</ul>
<ul>
<li>2</li>
</ul>
<ul>
<li>3</li>
</ul>
<pre class="line-numbers language-text" data-language="text"><code class="language-text">- 1
+ 2
* 3<span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span></span></code></pre>
<h4 id="有序列表">有序列表</h4>
<ol>
<li>a</li>
<li>b</li>
<li>c</li>
</ol>
<pre class="line-numbers language-text" data-language="text"><code class="language-text">1. a
2. b
3. c<span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span></span></code></pre>
<h4 id="列表嵌套">列表嵌套</h4>
<ol>
<li>标题
<ul>
<li>tab</li>
</ul>
</li>
</ol>
<pre class="line-numbers language-text" data-language="text"><code class="language-text">1. 标题
    * tab<span aria-hidden="true" class="line-numbers-rows"><span></span><span></span></span></code></pre>
<h4 id="表格">表格</h4>
<table>
<thead>
<tr>
<th>正常</th>
<th style="text-align:center">居中</th>
<th style="text-align:right">居右</th>
</tr>
</thead>
<tbody>
<tr>
<td>表格文字测试</td>
<td style="text-align:center">表格文字测试</td>
<td style="text-align:right">表格文字测试</td>
</tr>
<tr>
<td>表格文字</td>
<td style="text-align:center">表格文字</td>
<td style="text-align:right">表格文字</td>
</tr>
<tr>
<td>表格</td>
<td style="text-align:center">表格</td>
<td style="text-align:right">表格</td>
</tr>
</tbody>
</table>
<pre class="line-numbers language-text" data-language="text"><code class="language-text">|正常|居中|居右|
|---|:---:|---:|
|表格文字测试|表格文字测试|表格文字测试| 
|表格文字|表格文字|表格文字|
|表格|表格|表格|<span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span></span></code></pre>
<h2 id="进阶使用">进阶使用</h2>
<h3 id="流程图">流程图</h3>
<ul>
<li>Typora支持部分流程图; idea增加了md流程扩展插件</li>
</ul>
<h4 id="横向流程图">横向流程图</h4>
<pre class="line-numbers language-mermaid" data-language="mermaid"><code class="language-mermaid"><span class="token keyword">graph</span> LR
A<span class="token text string">[方形]</span> <span class="token arrow operator">--&gt;</span>B<span class="token text string">(圆角)</span>
B <span class="token arrow operator">--&gt;</span> C<span class="token text string">{条件a}</span>
C <span class="token arrow operator">--&gt;</span><span class="token label property">|a=1|</span> D<span class="token text string">[结果1]</span>
C <span class="token arrow operator">--&gt;</span><span class="token label property">|a=2|</span> E<span class="token text string">[结果2]</span>
F<span class="token text string">[横向流程图]</span><span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
<h4 id="竖向流程图">竖向流程图</h4>
<pre class="line-numbers language-mermaid" data-language="mermaid"><code class="language-mermaid"><span class="token keyword">graph</span> TD
A<span class="token text string">[方形]</span> <span class="token arrow operator">--&gt;</span>B<span class="token text string">(圆角)</span>
B <span class="token arrow operator">--&gt;</span> C<span class="token text string">{条件a}</span>
C <span class="token arrow operator">--&gt;</span><span class="token label property">|a=1|</span> D<span class="token text string">[结果1]</span>
C <span class="token arrow operator">--&gt;</span><span class="token label property">|a=2|</span> E<span class="token text string">[结果2]</span>
F<span class="token text string">[竖向流程图]</span><span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
<h4 id="普通流程图">普通流程图</h4>
<pre class="line-numbers language-flow" data-language="flow"><code class="language-flow">st<span class="token operator">=&gt;</span>start<span class="token operator">:</span> 开始框
op<span class="token operator">=&gt;</span>operation<span class="token operator">:</span> 处理框
cond<span class="token operator">=&gt;</span>condition<span class="token operator">:</span> <span class="token function">判断框</span><span class="token punctuation">(</span>是或否<span class="token operator">?</span><span class="token punctuation">)</span>
sub1<span class="token operator">=&gt;</span>subroutine<span class="token operator">:</span> 子流程
io<span class="token operator">=&gt;</span>inputoutput<span class="token operator">:</span> 输入输出框
e<span class="token operator">=&gt;</span>end<span class="token operator">:</span> 结束框
st<span class="token operator">-</span><span class="token operator">&gt;</span>op<span class="token operator">-</span><span class="token operator">&gt;</span>cond
<span class="token function">cond</span><span class="token punctuation">(</span>yes<span class="token punctuation">)</span><span class="token operator">-</span><span class="token operator">&gt;</span>io<span class="token operator">-</span><span class="token operator">&gt;</span>e
<span class="token function">cond</span><span class="token punctuation">(</span>no<span class="token punctuation">)</span><span class="token operator">-</span><span class="token operator">&gt;</span><span class="token function">sub1</span><span class="token punctuation">(</span>right<span class="token punctuation">)</span><span class="token operator">-</span><span class="token operator">&gt;</span>op<span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
<h4 id="UML时序图源码样例：">UML时序图源码样例：</h4>
<pre class="line-numbers language-sequence" data-language="sequence"><code class="language-sequence">对象A-&gt;对象B: 对象B你好吗?（请求）
Note right of 对象B: 对象B的描述
Note left of 对象A: 对象A的描述(提示)
对象B--&gt;对象A: 我很好(响应)
对象A-&gt;对象B: 你真的好吗？<span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span></span></code></pre>
<pre class="line-numbers language-mermaid" data-language="mermaid"><code class="language-mermaid"><span class="token keyword">graph</span> LR
A10<span class="token text string">[A10]</span> <span class="token arrow operator">---</span> A11<span class="token text string">[A11]</span>
A20<span class="token text string">[A20]</span> <span class="token arrow operator">===</span> A21<span class="token text string">[A21]</span>
A30<span class="token text string">[A30]</span> <span class="token arrow operator">-.-</span> A31<span class="token text string">[A31]</span>
B10<span class="token text string">[B10]</span> <span class="token arrow operator">--&gt;</span> B11<span class="token text string">[B11]</span>
B20<span class="token text string">[B20]</span> <span class="token arrow operator">==&gt;</span> B21<span class="token text string">[B21]</span>
B30<span class="token text string">[B30]</span> <span class="token arrow operator">-.-&gt;</span> B31<span class="token text string">[B31]</span>
C10<span class="token text string">[C10]</span> <span class="token inter-arrow-label"><span class="token arrow-head arrow operator">--</span><span class="token label property">yes</span><span class="token arrow operator">--&gt;</span></span> C11<span class="token text string">[C11]</span>
C20<span class="token text string">[C20]</span> <span class="token inter-arrow-label"><span class="token arrow-head arrow operator">==</span><span class="token label property">yes</span><span class="token arrow operator">==&gt;</span></span> C21<span class="token text string">[C21]</span>
C30<span class="token text string">[C30]</span> <span class="token inter-arrow-label"><span class="token arrow-head arrow operator">-.</span><span class="token label property">yes</span><span class="token arrow operator">.-&gt;</span></span> C31<span class="token text string">[C31]</span><span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
<pre class="line-numbers language-mermaid" data-language="mermaid"><code class="language-mermaid"><span class="token keyword">graph</span> TD
a1<span class="token text string">[带文本矩形]</span>
a2<span class="token text string">(带文本圆角矩形)</span>
a3<span class="token text string">&gt;带文本不对称矩形]</span>
b1<span class="token text string">{带文本菱形}</span>
c1<span class="token text string">((带文本圆形))</span><span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
<h3 id="公式渲染mathjax">公式渲染<code>mathjax</code></h3>
<p>参考链接:</p>
<ul>
<li>
<p><a target="_blank" rel="noopener" href="https://math.meta.stackexchange.com/questions/5020/mathjax-basic-tutorial-and-quick-reference">https://math.meta.stackexchange.com/questions/5020/mathjax-basic-tutorial-and-quick-reference</a></p>
</li>
<li>
<p><a target="_blank" rel="noopener" href="http://events.jianshu.io/p/8363e3815b92">http://events.jianshu.io/p/8363e3815b92</a></p>
</li>
</ul>
<p>\begin{eqnarray*}<br>
\nabla\cdot\vec{E}&amp;=&amp;\frac{\rho}{\epsilon_0}\\<br>
\nabla\cdot\vec{B}&amp;=&amp;0\\<br>
\nabla\times\vec{E}&amp;=&amp;-\frac{\partial B}{\partial t}\\<br>
\nabla\times\vec{B}&amp;=&amp;\mu_0\left(\vec{J}+\epsilon_0\frac{\partial E}{\partial t}\right)\\<br>
\end{eqnarray*}</p>
<h4 id="插入公式">插入公式</h4>
<ul>
<li>行中公式(放在文中与其它文字混编)可以用如下方法表示：<code>$ 数学公式 $</code></li>
<li>独立公式可以用如下方法表示：<code>$$ 数学公式 $$</code></li>
</ul>
<h4 id="输入上下标">输入上下标</h4>
<ul>
<li><code>^</code>表示上标， <code>_</code> 表示下标。</li>
<li>如果上下标的内容多于一个字符，需要用 <code>{}</code>将这些内容括成一个整体。</li>
<li>上下标可以嵌套，也可以同时使用。</li>
</ul>
<p>$$ x^{y^z}=(1+{\rm e}^x)^{-2xy^w} $$</p>
<pre class="line-numbers language-mathjax" data-language="mathjax"><code class="language-mathjax">$$ x^{y^z}=(1+{\rm e}^x)^{-2xy^w} $$<span aria-hidden="true" class="line-numbers-rows"><span></span></span></code></pre>
<ul>
<li>另外，如果要在左右两边都有上下标，可以用<code>\sideset</code> 命令</li>
</ul>
<h4 id="括号和分隔符">括号和分隔符</h4>
<p><code>()</code>、<code>[]</code>和<code>|</code>表示符号本身，使用 <code>\{\}</code> 来表示 <code>{}</code>。</p>
<p>一些特殊的括号：</p>
<table>
<thead>
<tr>
<th style="text-align:center">输入</th>
<th style="text-align:center">显示</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:center"><code>$\langle表达式\rangle$</code></td>
<td style="text-align:center">$\langle表达式\rangle$</td>
</tr>
<tr>
<td style="text-align:center"><code>$\lceil表达式\rceil$</code></td>
<td style="text-align:center">$\lceil表达式\rceil$</td>
</tr>
<tr>
<td style="text-align:center"><code>$\lfloor表达式\rfloor$</code></td>
<td style="text-align:center">$\lfloor表达式\rfloor$</td>
</tr>
<tr>
<td style="text-align:center"><code>$\lbrace表达式\rbrace$</code></td>
<td style="text-align:center">$\lbrace表达式\rbrace$</td>
</tr>
</tbody>
</table>
<h4 id="分数">分数</h4>
<ul>
<li>通常使用 <code>\frac {分子} {分母}</code>命令产生一个分数，可嵌套。</li>
</ul>
<p>$$\frac {分子} {分母}$$</p>
<ul>
<li>便捷情况可直接输入 <code>\frac ab</code>来快速生成一个</li>
</ul>
<p>$$\frac ab$$</p>
<h4 id="开方">开方</h4>
<ul>
<li>使用 <code>\sqrt [根指数，省略时为2] {被开方数}</code>命令输入开方。</li>
</ul>
<p>$$\sqrt[3]{2}$$</p>
<pre class="line-numbers language-mathjax" data-language="mathjax"><code class="language-mathjax">$$\sqrt[3]{2}$$<span aria-hidden="true" class="line-numbers-rows"><span></span></span></code></pre>
<h4 id="省略号">省略号</h4>
<p>数学公式中常见的省略号有两种，<code>\ldots</code> 表示与文本底线对齐的省略号，<code>\cdots</code> 表示与文本中线对齐的省略号。</p>
<p>$$ f(x_1,x_2,\underbrace{\ldots}_{\rm ldots} ,x_n) = x_1^2 + x_2^2 + \underbrace{\cdots}_{\rm cdots} + x_n^2 $$</p>
<pre class="line-numbers language-mathjax" data-language="mathjax"><code class="language-mathjax">$$ f(x_1,x_2,\underbrace{\ldots}_{\rm ldots} ,x_n) = x_1^2 + x_2^2 + \underbrace{\cdots}\_{\rm cdots} + x_n^2 $$<span aria-hidden="true" class="line-numbers-rows"><span></span></span></code></pre>
<h4 id="矢量">矢量</h4>
<p>使用 <code>\vec{矢量}</code>来自动产生一个矢量。也可以使用 <code>\overrightarrow</code>等命令改变字母上方的符号。</p>
<p>$$\vec{a} \cdot \vec{b}=0$$</p>
<pre class="line-numbers language-mathjax" data-language="mathjax"><code class="language-mathjax">$$\vec{a} \cdot \vec{b}=0$$<span aria-hidden="true" class="line-numbers-rows"><span></span></span></code></pre>
<p>$$\overleftarrow{xy} \quad and \quad \overleftrightarrow{xy} \quad and \quad \overrightarrow{xy}$$</p>
<pre class="line-numbers language-mathjax" data-language="mathjax"><code class="language-mathjax">$$\overleftarrow{xy} \quad and \quad \overleftrightarrow{xy} \quad and \quad \overrightarrow{xy}$$<span aria-hidden="true" class="line-numbers-rows"><span></span></span></code></pre>
<h4 id="上划线、下划线-平均数">上划线、下划线 (平均数)</h4>
<p>$$ \overline X \quad  and  \quad \underline X \quad and \quad \hat a $$</p>
<pre class="line-numbers language-mathjax" data-language="mathjax"><code class="language-mathjax">$$ \overline X \quad  and  \quad \underline X \quad and \quad \hat a $$<span aria-hidden="true" class="line-numbers-rows"><span></span></span></code></pre>
<h4 id="积分">积分</h4>
<p>使用 <code>\int_积分下限^积分上限 {被积表达式}</code>来输入一个积分。</p>
<p>$$\int_0^1 {x^2} ,{\rm d}x$$</p>
<pre class="line-numbers language-mathjax" data-language="mathjax"><code class="language-mathjax">$$\int_0^1 {x^2} \,{\rm d}x$$<span aria-hidden="true" class="line-numbers-rows"><span></span></span></code></pre>
<h4 id="极限">极限</h4>
<p>使用<code>\lim_{变量 \to 表达式} 表达式</code> 来输入一个极限。如有需求，可以更改 <code>\to</code> 符号至任意符号。</p>
<p>$$ \lim_{n \to +\infty} \frac{1}{n(n+1)} \quad and \quad \lim_{x\leftarrow{示例}} \frac{1}{n(n+1)} $$</p>
<pre class="line-numbers language-mathjax" data-language="mathjax"><code class="language-mathjax">$$ \lim_{n \to +\infty} \frac{1}{n(n+1)} \quad and \quad \lim_{x\leftarrow{示例}} \frac{1}{n(n+1)} $$<span aria-hidden="true" class="line-numbers-rows"><span></span></span></code></pre>
<h4 id="累加、累乘">累加、累乘</h4>
<p>使用 <code>\sum_{下标表达式}^{上标表达式} {累加表达式}</code>来输入一个累加。<br>
与之类似，使用 <code>\prod \bigcup \bigcap</code>来分别输入累乘、并集和交集。<br>
此类符号在行内显示时上下标表达式将会移至右上角和右下角。</p>
<p>$$\sum_{i=1}^n \frac{1}{i^2} \quad and \quad \prod_{i=1}^n \frac{1}{i^2} \quad and \quad \bigcup_{i=1}^{2} R$$</p>
<pre class="line-numbers language-mathjax" data-language="mathjax"><code class="language-mathjax">$$\sum_{i=1}^n \frac{1}{i^2} \quad and \quad \prod_{i=1}^n \frac{1}{i^2} \quad and \quad \bigcup_{i=1}^{2} R$$<span aria-hidden="true" class="line-numbers-rows"><span></span></span></code></pre>
<h4 id="在符号-底-顶部-写符号-换行">在符号 底&amp;顶部 写符号&amp;换行</h4>
<h5 id="符号底部">符号底部</h5>
<p><code>\underset{A}{B}</code></p>
<p>$$ \underset{0\leq j \leq k-1}{\arg\min} $$</p>
<pre class="line-numbers language-mathjax" data-language="mathjax"><code class="language-mathjax">$$ \underset{0\leq j \leq k-1}{\arg\min} $$<span aria-hidden="true" class="line-numbers-rows"><span></span></span></code></pre>
<h5 id="符号顶部">符号顶部</h5>
<p><code>\overset{A}{B}</code></p>
<p>$$ A \overset ?= B $$</p>
<pre class="line-numbers language-mathjax" data-language="mathjax"><code class="language-mathjax">$$ A \overset ?= B $$<span aria-hidden="true" class="line-numbers-rows"><span></span></span></code></pre>
<h5 id="符号底部换行">符号底部换行</h5>
<p><code>_{\substack A \\\\ B}</code></p>
<p>$$ \sum_{\substack{0&lt;i&lt;n \\ 0&lt;j&lt;n}} A_{ij} $$</p>
<pre class="line-numbers language-mathjax" data-language="mathjax"><code class="language-mathjax">$$ \sum_{\substack{0&lt;i&lt;n \\\\ 0&lt;j&lt;n}} A_{ij} $$<span aria-hidden="true" class="line-numbers-rows"><span></span></span></code></pre>
<h4 id="希腊字母">希腊字母</h4>
<p>输入 <code>\小写希腊字母英文全称</code>和<code>\首字母大写希腊字母英文全称</code>来分别输入小写和大写希腊字母。<br>
对于大写希腊字母与现有字母相同的，直接输入大写字母即可。</p>
<table>
<thead>
<tr>
<th style="text-align:center">输入</th>
<th style="text-align:center">显示</th>
<th style="text-align:center">输入</th>
<th style="text-align:center">显示</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:center"><code>$\alpha$  </code></td>
<td style="text-align:center">$\alpha$</td>
<td style="text-align:center"><code>$A$       </code></td>
<td style="text-align:center">$A$</td>
</tr>
<tr>
<td style="text-align:center"><code>$\beta$   </code></td>
<td style="text-align:center">$\beta$</td>
<td style="text-align:center"><code>$B$       </code></td>
<td style="text-align:center">$B$</td>
</tr>
<tr>
<td style="text-align:center"><code>$\gamma$  </code></td>
<td style="text-align:center">$\gamma$</td>
<td style="text-align:center"><code>$\Gamma$  </code></td>
<td style="text-align:center">$\Gamma$</td>
</tr>
<tr>
<td style="text-align:center"><code>$\delta$  </code></td>
<td style="text-align:center">$\delta$</td>
<td style="text-align:center"><code>$\Delta$  </code></td>
<td style="text-align:center">$\Delta$</td>
</tr>
<tr>
<td style="text-align:center"><code>$\epsilon$</code></td>
<td style="text-align:center">$\epsilon$</td>
<td style="text-align:center"><code>$E$       </code></td>
<td style="text-align:center">$E$</td>
</tr>
<tr>
<td style="text-align:center"><code>$\zeta$   </code></td>
<td style="text-align:center">$\zeta$</td>
<td style="text-align:center"><code>$Z$       </code></td>
<td style="text-align:center">$Z$</td>
</tr>
<tr>
<td style="text-align:center"><code>$\eta$    </code></td>
<td style="text-align:center">$\eta$</td>
<td style="text-align:center"><code>$H$       </code></td>
<td style="text-align:center">$H$</td>
</tr>
<tr>
<td style="text-align:center"><code>$\theta$  </code></td>
<td style="text-align:center">$\theta$</td>
<td style="text-align:center"><code>$\Theta$  </code></td>
<td style="text-align:center">$\Theta$</td>
</tr>
<tr>
<td style="text-align:center"><code>$\iota$   </code></td>
<td style="text-align:center">$\iota$</td>
<td style="text-align:center"><code>$I$       </code></td>
<td style="text-align:center">$I$</td>
</tr>
<tr>
<td style="text-align:center"><code>$\kappa$  </code></td>
<td style="text-align:center">$\kappa$</td>
<td style="text-align:center"><code>$K$       </code></td>
<td style="text-align:center">$K$</td>
</tr>
<tr>
<td style="text-align:center"><code>$\lambda$ </code></td>
<td style="text-align:center">$\lambda$</td>
<td style="text-align:center"><code>$\Lambda$ </code></td>
<td style="text-align:center">$\Lambda$</td>
</tr>
<tr>
<td style="text-align:center"><code>$\nu$     </code></td>
<td style="text-align:center">$\nu$</td>
<td style="text-align:center"><code>$N$       </code></td>
<td style="text-align:center">$N$</td>
</tr>
<tr>
<td style="text-align:center"><code>$\mu$     </code></td>
<td style="text-align:center">$\mu$</td>
<td style="text-align:center"><code>$M$       </code></td>
<td style="text-align:center">$M$</td>
</tr>
<tr>
<td style="text-align:center"><code>$\xi$     </code></td>
<td style="text-align:center">$\xi$</td>
<td style="text-align:center"><code>$\Xi$     </code></td>
<td style="text-align:center">$\Xi$</td>
</tr>
<tr>
<td style="text-align:center"><code>$o$       </code></td>
<td style="text-align:center">$o$</td>
<td style="text-align:center"><code>$O$       </code></td>
<td style="text-align:center">$O$</td>
</tr>
<tr>
<td style="text-align:center"><code>$\pi$     </code></td>
<td style="text-align:center">$\pi$</td>
<td style="text-align:center"><code>$\Pi$     </code></td>
<td style="text-align:center">$\Pi$</td>
</tr>
<tr>
<td style="text-align:center"><code>$\rho$    </code></td>
<td style="text-align:center">$\rho$</td>
<td style="text-align:center"><code>$P$       </code></td>
<td style="text-align:center">$P$</td>
</tr>
<tr>
<td style="text-align:center"><code>$\sigma$  </code></td>
<td style="text-align:center">$\sigma$</td>
<td style="text-align:center"><code>$\Sigma$  </code></td>
<td style="text-align:center">$\Sigma$</td>
</tr>
<tr>
<td style="text-align:center"><code>$\tau$    </code></td>
<td style="text-align:center">$\tau$</td>
<td style="text-align:center"><code>$T$       </code></td>
<td style="text-align:center">$T$</td>
</tr>
<tr>
<td style="text-align:center"><code>$\upsilon$</code></td>
<td style="text-align:center">$\upsilon$</td>
<td style="text-align:center"><code>$\Upsilon$</code></td>
<td style="text-align:center">$\Upsilon$</td>
</tr>
<tr>
<td style="text-align:center"><code>$\phi$    </code></td>
<td style="text-align:center">$\phi$</td>
<td style="text-align:center"><code>$\Phi$    </code></td>
<td style="text-align:center">$\Phi$</td>
</tr>
<tr>
<td style="text-align:center"><code>$\chi$    </code></td>
<td style="text-align:center">$\chi$</td>
<td style="text-align:center"><code>$X$       </code></td>
<td style="text-align:center">$X$</td>
</tr>
<tr>
<td style="text-align:center"><code>$\psi$    </code></td>
<td style="text-align:center">$\psi$</td>
<td style="text-align:center"><code>$\Psi$    </code></td>
<td style="text-align:center">$\Psi$</td>
</tr>
<tr>
<td style="text-align:center"><code>$\omega$  </code></td>
<td style="text-align:center">$\omega$</td>
<td style="text-align:center"><code>$\Omega$  </code></td>
<td style="text-align:center">$\Omega$</td>
</tr>
</tbody>
</table>
<h4 id="大括号和行标">大括号和行标</h4>
<ul>
<li>指定括号大小：</li>
</ul>
<p>$$ \Biggl(\biggl(\Bigl(\bigl((x)\bigr)\Bigr)\biggr)\Biggr) $$</p>
<pre class="line-numbers language-mathjax" data-language="mathjax"><code class="language-mathjax">$$ \Biggl(\biggl(\Bigl(\bigl((x)\bigr)\Bigr)\biggr)\Biggr) $$<span aria-hidden="true" class="line-numbers-rows"><span></span></span></code></pre>
<ul>
<li>自动匹配括号大小：</li>
</ul>
<p>使用 <code>\left</code>和 <code>\right</code>来创建自动匹配高度的 (圆括号)，[方括号] 和 {花括号} 。<br>
在每个公式末尾前使用<code>\tag{行标}</code>来实现行标。</p>
<ul>
<li>!下述表达式不能正常执行</li>
</ul>
<pre class="line-numbers language-mathjax" data-language="mathjax"><code class="language-mathjax">$$
f\left(
   \left[ 
     \frac{
       1+\left\{x,y\right\}
     }{
       \left(
          \frac{x}{y}+\frac{y}{x}
       \right)
       \left(u+1\right)
     }+a
   \right]^{3/2}
\right)
\tag{行标}
$$<span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
<h4 id="方程组">方程组</h4>
<ul>
<li>在需要建立方程组的时候，可以用 <code>\begin{array}…\end{array}</code> 和 <code>\left\{…\right.</code>，如：</li>
</ul>
<p>$$<br>
\left\{<br>
\begin{array}{ll}<br>
a_1x+b_1y+c_1z=d_1 \\<br>
a_2x+b_2y+c_2z=d_2 \\<br>
a_3x+b_3y+c_3z=d_3<br>
\end{array}<br>
\right.<br>
$$</p>
<pre class="line-numbers language-mathjax" data-language="mathjax"><code class="language-mathjax">$$
\left\\{ 
\begin{array}{ll}
a_1x+b_1y+c_1z=d_1 \\\\
a_2x+b_2y+c_2z=d_2 \\\\
a_3x+b_3y+c_3z=d_3
\end{array}
\right.
$$<span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
<ul>
<li>另外，也可以使用 <code>\begin{cases}…\end{cases}</code>，如：</li>
</ul>
<p>$$<br>
\begin{cases}<br>
a_1x+b_1y+c_1z=d_1 \\<br>
a_2x+b_2y+c_2z=d_2 \\<br>
a_3x+b_3y+c_3z=d_3<br>
\end{cases}<br>
$$</p>
<pre class="line-numbers language-mathjax" data-language="mathjax"><code class="language-mathjax">$$
\begin{cases}
a_1x+b_1y+c_1z=d_1 \\\\
a_2x+b_2y+c_2z=d_2 \\\\
a_3x+b_3y+c_3z=d_3
\end{cases}
$$<span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
<ul>
<li>如果想把等号对齐，就用 <code>\begin{aligned}...\end{aligned}</code> 和 <code>\left\{…\right.</code>，如：</li>
</ul>
<p>$$<br>
\left\{<br>
\begin{aligned}<br>
a_1x+b_1y+c_1z &amp;= d_1+e_1 \\<br>
a_2x+b_2y &amp;= d_2 \\<br>
a_3x+b_3y+c_3z &amp;= d_3<br>
\end{aligned}<br>
\right.<br>
$$</p>
<pre class="line-numbers language-mathjax" data-language="mathjax"><code class="language-mathjax">$$
\left\\{
\begin{aligned}
a_1x+b_1y+c_1z &amp;= d_1+e_1 \\\\
a_2x+b_2y &amp;= d_2 \\\\
a_3x+b_3y+c_3z &amp;= d_3
\end{aligned}
\right.
$$<span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
<ul>
<li>如果想要等号对齐，并左右两边左对齐，就可以用 <code>array</code> 中的 <code>l</code> 参数：</li>
</ul>
<p>$$<br>
\left\{<br>
\begin{array}{ll}<br>
a_1x+b_1y+c_1z &amp;=d_1+e_1 \\<br>
a_2x+b_2y &amp;=d_2 \\<br>
a_3x+b_3y+c_3z &amp;=d_3<br>
\end{array}<br>
\right.<br>
$$</p>
<pre class="line-numbers language-mathjax" data-language="mathjax"><code class="language-mathjax">$$
\left\\{
\begin{array}{ll}
a_1x+b_1y+c_1z &amp;=d_1+e_1 \\\\
a_2x+b_2y &amp;=d_2 \\\\
a_3x+b_3y+c_3z &amp;=d_3
\end{array}
\right.
$$<span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
<h4 id="字体转换">字体转换</h4>
<p>若要对公式的某一部分字符进行字体转换，可以用 <code>{\字体 {需转换的部分字符}}</code> 命令，其中 <code>\字体</code> 部分可以参照下表选择合适的字体。一般情况下，公式默认为意大利体.</p>
<table>
<thead>
<tr>
<th>输入</th>
<th>说明</th>
</tr>
</thead>
<tbody>
<tr>
<td><code>\rm</code></td>
<td>$\rm{罗马体}$</td>
</tr>
<tr>
<td><code>\cal</code></td>
<td>$\cal{花体}$</td>
</tr>
<tr>
<td><code>\it</code></td>
<td>$\it{意大利体}$</td>
</tr>
<tr>
<td><code>\Bbb</code></td>
<td>$\Bbb{黑板粗体}$</td>
</tr>
<tr>
<td><code>\bf</code></td>
<td>$\bf{粗体}$</td>
</tr>
<tr>
<td><code>\mit</code></td>
<td>$\mit{数学斜体}$</td>
</tr>
<tr>
<td><code>\sf</code></td>
<td>$\sf{等线体}$</td>
</tr>
<tr>
<td><code>\scr</code></td>
<td>$\scr{手写体}$</td>
</tr>
<tr>
<td><code>\tt</code></td>
<td>$\tt{打字机体}$</td>
</tr>
<tr>
<td><code>\frak</code></td>
<td>$\frak{旧德式字体}$</td>
</tr>
<tr>
<td><code>\boldsymbol</code></td>
<td>$\boldsymbol{黑体}$</td>
</tr>
</tbody>
</table>
<h4 id="设定表格">设定表格</h4>
<p>$$<br>
\begin{array}{ccc|c}<br>
a11 &amp; a12 &amp; a13  &amp; b1 \\<br>
a21 &amp; a22  &amp; a23 &amp; b2  \\<br>
a31 &amp; a32  &amp; a33 &amp; b3  \\<br>
\end{array}<br>
$$</p>
<pre class="line-numbers language-none"><code class="language-none">$$mathjax
\begin{array}{ccc|c}
a11 &amp; a12 &amp; a13  &amp; b1 \\\\
a21 &amp; a22  &amp; a23 &amp; b2  \\\\
a31 &amp; a32  &amp; a33 &amp; b3  \\\\
\end{array}
$$<span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
<h4 id="特殊符号">特殊符号</h4>
<table>
<thead>
<tr>
<th style="text-align:center">名称</th>
<th>输入</th>
<th>显示</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:center">无穷</td>
<td><code>$\infty$</code></td>
<td>$\infty$</td>
</tr>
<tr>
<td style="text-align:center">加减乘除</td>
<td><code>$\times \div \pm \mp$</code></td>
<td>$\times \div \pm \mp$</td>
</tr>
<tr>
<td style="text-align:center">点乘</td>
<td><code>$\cdot$</code></td>
<td>$\cdot$</td>
</tr>
<tr>
<td style="text-align:center">空格</td>
<td><code>$\quad$</code></td>
<td>$\quad$</td>
</tr>
<tr>
<td style="text-align:center">各种等号</td>
<td><code>$\lt \gt \le \leq \leqq \leqslant \ge \geq \geqq \geqslant \neq$</code></td>
<td>$\lt \gt \le \leq \leqq \leqslant \ge \geq \geqq \geqslant \neq$</td>
</tr>
<tr>
<td style="text-align:center">求导</td>
<td><code>$\text{d}x$</code></td>
<td>$\text{d}x$</td>
</tr>
<tr>
<td style="text-align:center">累乘</td>
<td><code>$\prod$</code></td>
<td>$\prod$</td>
</tr>
<tr>
<td style="text-align:center">积分</td>
<td><code>$\int$</code></td>
<td>$\int$</td>
</tr>
<tr>
<td style="text-align:center">积积分</td>
<td><code>$\iint$</code></td>
<td>$\iint$</td>
</tr>
<tr>
<td style="text-align:center">积积积分</td>
<td><code>$\iiint$</code></td>
<td>$\iiint$</td>
</tr>
<tr>
<td style="text-align:center">并集交集什么的</td>
<td><code>$\cup \cap \setminus \subset \subseteq \subsetneq \supset \in \notin \emptyset \varnothing$</code></td>
<td>$\cup \cap \setminus \subset \subseteq \subsetneq \supset \in \notin \emptyset \varnothing$</td>
</tr>
<tr>
<td style="text-align:center">箭头</td>
<td><code>\$to \rightarrow \leftarrow \Rightarrow \Leftarrow \mapsto \hookrightarrow$</code></td>
<td>$\to \rightarrow \leftarrow \Rightarrow \Leftarrow \mapsto \hookrightarrow$</td>
</tr>
<tr>
<td style="text-align:center">-</td>
<td><code>$\binom{n+1}{2k}$</code></td>
<td>$\binom{n+1}{2k}$</td>
</tr>
<tr>
<td style="text-align:center">-</td>
<td><code>$\land \lor \lnot \forall \exists \top \bot \vdash \vDash$</code></td>
<td>$\land \lor \lnot \forall \exists \top \bot \vdash \vDash$</td>
</tr>
<tr>
<td style="text-align:center">-</td>
<td><code>$\star \ast \oplus \circ \bullet$</code></td>
<td>$\star \ast \oplus \circ \bullet$</td>
</tr>
<tr>
<td style="text-align:center">-</td>
<td><code>$\approx \sim \simeq \cong \equiv \prec \lhd \therefore$</code></td>
<td>$\approx \sim \simeq \cong \equiv \prec \lhd \therefore$</td>
</tr>
<tr>
<td style="text-align:center">-</td>
<td><code>$\square \triangleq \triangle \nabla \partial$</code></td>
<td>$\square \triangleq \triangle \nabla \partial$</td>
</tr>
</tbody>
</table>

                
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$(function () {
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            url: path,
            dataType: "xml",
            success: function (xmlResponse) {
                // get the contents from search data
                var datas = $("entry", xmlResponse).map(function () {
                    return {
                        title: $("title", this).text(),
                        content: $("content", this).text(),
                        url: $("url", this).text()
                    };
                }).get();
                var $input = document.getElementById(search_id);
                var $resultContent = document.getElementById(content_id);
                $input.addEventListener('input', function () {
                    var str = '<ul class=\"search-result-list\">';
                    var keywords = this.value.trim().toLowerCase().split(/[\s\-]+/);
                    $resultContent.innerHTML = "";
                    if (this.value.trim().length <= 0) {
                        return;
                    }
                    // perform local searching
                    datas.forEach(function (data) {
                        var isMatch = true;
                        var data_title = data.title.trim().toLowerCase();
                        var data_content = data.content.trim().replace(/<[^>]+>/g, "").toLowerCase();
                        var data_url = data.url;
                        data_url = data_url.indexOf('/') === 0 ? data.url : '/' + data_url;
                        var index_title = -1;
                        var index_content = -1;
                        var first_occur = -1;
                        // only match artiles with not empty titles and contents
                        if (data_title !== '' && data_content !== '') {
                            keywords.forEach(function (keyword, i) {
                                index_title = data_title.indexOf(keyword);
                                index_content = data_content.indexOf(keyword);
                                if (index_title < 0 && index_content < 0) {
                                    isMatch = false;
                                } else {
                                    if (index_content < 0) {
                                        index_content = 0;
                                    }
                                    if (i === 0) {
                                        first_occur = index_content;
                                    }
                                }
                            });
                        }
                        // show search results
                        if (isMatch) {
                            str += "<li><a href='" + data_url + "' class='search-result-title'>" + data_title + "</a>";
                            var content = data.content.trim().replace(/<[^>]+>/g, "");
                            if (first_occur >= 0) {
                                // cut out 100 characters
                                var start = first_occur - 20;
                                var end = first_occur + 80;
                                if (start < 0) {
                                    start = 0;
                                }
                                if (start === 0) {
                                    end = 100;
                                }
                                if (end > content.length) {
                                    end = content.length;
                                }
                                var match_content = content.substr(start, end);
                                // highlight all keywords
                                keywords.forEach(function (keyword) {
                                    var regS = new RegExp(keyword, "gi");
                                    match_content = match_content.replace(regS, "<em class=\"search-keyword\">" + keyword + "</em>");
                                });

                                str += "<p class=\"search-result\">" + match_content + "...</p>"
                            }
                            str += "</li>";
                        }
                    });
                    str += "</ul>";
                    $resultContent.innerHTML = str;
                });
            }
        });
    };

    searchFunc('/search.xml', 'searchInput', 'searchResult');
});
</script>

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